Joint moments of characteristic polynomials in the circular Jacobi ensemble and Painlevé equationsIn this paper, we establish a connection between joint moments of characteristic polynomials and their derivatives in the Circular Jacobi Ensemble, a generalisation of the Circular Unitary Ensemble,…Thomas Bothner, Fei Wei·Aug 25, 2026SaveLearn
Boundary Free Energies, Quenched Mixing, and Gibbs-State Selection in Disordered Ising ModelsWe study boundary free energies and half-space responses in nearest-neighbor disordered Ising models. First, we prove the existence of fixed-depth tangential pressure and identify its derivative…Mauris Chueng, Hexiang Wang, Keheng Zhu·Aug 25, 2026SaveLearn
Non-equilibrium modelling of polyatomic gases: generic framework and 11-moment modelIn this study, we present a thermodynamically consistent framework for modelling polyatomic gases by integrating the general equation for non-equilibrium reversible-irreversible coupling…Masrakain Ahmad, Anil Kumar, Anirudh Singh Rana·Aug 25, 2026SaveLearn
On the Dirichlet-to-Neumann conformal invariant of bounded planar domainsUsing an analogue of the Mandelstam-Giddings-Wolpert diagrams, we introduce a new canonical representative of the conformal class of a bounded domain of arbitrary connectivity in C as a…Alexey Kokotov, Dmitrii Korikov, Marina Nenasheva·Aug 24, 2026SaveLearn
Hartree--Fock coercivity for twisted bilayer grapheneWe study the minimisers of the Hartree--Fock functional for flat bands in the chiral model of twisted bilayer graphene introduced by Tarnopolsky, Kruchkov, and Vishwanath. Our model is a continuous…Kevin D. Stubbs, Maciej Zworski·Aug 24, 2026SaveLearn
A Comment on Local Hypercube InequalitiesThis comment gives dimension-independent analytic proofs of the local inequalities arising in the odd- and even-dimensional constructions of higher-dimensional partition charge functions. The prior…Keyou Zhuo, Tian-Shun Chen, Kilar Zhang·Aug 24, 2026SaveLearn
Bound States in Exactly Solvable Polaritonic ModelsWe study a one-dimensional scalar model for an effective-mass quasiparticle field coupled to a continuum of two-level atoms with at most one excitation present. We prove a general theorem on the…Sam Johar, Ryogo Katahira, Joseph Kraisler·Aug 24, 2026SaveLearn
Instantons in a Double-Well are Poisson DistributedWe give a rigorous realization of the dilute instanton picture for a semiclassical Schrödinger operator with a symmetric double-well potential on Rn. Using a localized Feynman--Kac…Jacob Shapiro·Aug 24, 2026SaveLearn
Elements of Topology, Differential Geometry and General Relativity for Physicists: A Mathematica-based Tutorial ApproachThis book is a self-contained, tutorial introduction to topology, differential geometry, and general relativity for students and researchers in physics. Its distinguishing feature is a…Balasubramanian Ananthanarayan, Souvik Bera, Subhasish Chakrabarty et al.·Aug 24, 2026SaveLearn
Universality of the conformal anomalyWe prove a universal property of local real one-dimensional modular functors, which may be thought of as central extensions of the sewing operation on the (infinite-dimensional) Segal moduli spaces.…Sid Maibach, Eveliina Peltola·Aug 24, 2026SaveLearn
Correlation inequalities for transversal field models with application to quantum glassesWe study the class of transversal field models with pair interactions, including the quantum Curie-Weiss and the transversal field Ising model, as well as quantum spin glasses based on the…Chokri Manai, Simone Warzel·Aug 24, 2026SaveLearn
From Null Modes to Gauge Generators: A Bordered Faddeev--Jackiw Theory of Constraint ChainsA null mode of the bordered Faddeev--Jackiw matrix is not, in general, a gauge generator. We determine exactly what the residual kernel encodes and identify the additional condition required for…E. Chan-López·Aug 23, 2026SaveLearn
Fractality of the Schrödinger Density for Rough DataThe observable of the Talbot effect is the intensity behind the grating: the density of the evolving field, not the field itself. Its fractality was previously known only for step data with rational…Masoud Ataei·Aug 23, 2026SaveLearn
Quantitative Furstenberg Theory for Large Random MatricesWe consider the 2W× 2W transfer matrices associated to the block Anderson model with GOE potential blocks. We make the classical Lyapunov exponent theory quantitative in two ways. First, we…Reuben Drogin·Aug 23, 2026SaveLearn
On the gauge invariant boundary condition in open XXZ chains: SoV bases, elementary blocks and overlapsWe consider the open XXZ spin chain with unparallel boundary fields, in the special case in which the Vertex-IRF transform of the K-matrix labelling the boundary field at site 1 is diagonal and…G. Niccoli, V. Terras·Aug 23, 2026SaveLearn
Interacting Lattice Bosons on the Concrete Buchholz Algebra -- All-Temperature Equilibrium States from Functional-Integral Local-Number BoundsInteracting Bose--Hubbard dynamics is formulated on the concrete Buchholz algebra in Fock space. Under repulsive finite-range interactions and a low-activity gap, a discrete functional integral gives…Yoshitsugu Sekine·Aug 23, 2026SaveLearn
TENSKEL: A Combinatorial Observable Tensor for Structured Measurement and ReconstructionMany imaging problems seek to reconstruct underlying configurations from partial observable measurements. While reconstruction algorithms operate on these measurements, the observable organization…Yvan Richard·Aug 22, 2026SaveLearn
Finite-term recurrences in a generalized Bochner--Krall familyWe classify the differential operators \(T=zj∂zj+zm∂z\), where \(0 m<\) and \(1 j<\), whose monic eigenpolynomials satisfy a finite-term recurrence relation.…L. M. Anguas, D. Barrios Rolanía, B. Shapiro et al.·Aug 22, 2026SaveLearn
Three-Dimensional Coulomb Discrete Spectrum via Symplectic Geometry and Phase-Space Constraints: A Geometric Framework for Condensed-Matter Coulomb-Like SystemsDiscrete energy-level structures in Coulomb-like localized bound states are conventionally obtained by direct diagonalization of the Schrödinger equation or by semiclassical approximations that fail…Gang Zheng, Peng Chen, Mengli Wang et al.·Aug 21, 2026SaveLearn
Gauge Rigidity and Holonomy Classification of Time-Scaled Intertwining Cocycles on Hilbert BundlesWe extend the discrete gauge rigidity of time-scaled intertwining cocycles to operator networks over a connected manifold M and classify the holonomy that the continuous setting admits. For…Anton Alexa·Aug 21, 2026SaveLearn
Information Loss under Gauge Reduction of Discrete Electromagnetic FieldsWe study relative entropy under gauge reduction in Whitney-discretized electromagnetism. The discrete Hodge decomposition separates exact gauge directions from harmonic and coexact physical degrees…Jean-Pierre Magnot·Aug 21, 2026SaveLearn
Chern--Simons Fluctuations and Information Geometry in Discrete ElectromagnetismWe construct helicity-conditioned statistical states for a Whitney-discretized electromagnetic field on a closed oriented three-manifold. The simplicial de Rham complex provides exact discrete gauge…Jean-Pierre Magnot·Aug 21, 2026SaveLearn
How Much Geometry Does Newtonian Dynamics Fix?Newtonian mechanics is usually written on a spacetime of fixed geometry. Here we build that geometry, introducing a propagator and a bilinear form only as the description demands. Within this…C S López-Monsalvo·Aug 21, 2026SaveLearn
The spin-1/2 Heisenberg XXZ chain and the Lorentz mirror model with loop weight 2We prove that for the spin-1/2 Heisenberg XXZ chain in the range Δ∈[-1,1/2], the ground state on the torus of length L converges to an infinite volume ground state · as…Kieran Ryan·Aug 21, 2026SaveLearn
Spectral gaps for mean-field Coulomb gasesWe prove a Poincaré inequality, uniform in the particle number, for repulsive (one-component) Coulomb gases in dimensions d3, with inverse temperature βN that is allowed to depend on N. We…Simon Becker, Angeliki Menegaki·Aug 21, 2026SaveLearn